The eigenvalues of an indentity matrix Enter key to drop response here. The eigenvalues of an orthogonal matrix Enter key to drop response here. The eigenvalues of a Hermitian matrix Enter key to drop response here. The eigenvalues of a triangular matrix ...
In this paper we examine the imaginary axis eigenvalues of matrix delay differential equations with coefficients alternating between Hermitian and skew Hermitian, such as occurring in many mechanical systems. We show that given this special structure and a certain sign condition, the dimension of the ...
It is proved that the eigenvectors of a symmetric centrosymmetric matrix of order N are either symmetric or skew symmetric, and that there are N /2 symme... A Cantoni,P Butler - 《Linear Algebra & Its Applications》 被引量: 526发表: 1976年 An improved iterative optimization technique for ...
Prove that 0 is not an eigenvalue of B. How to prove a matrix is Hermitian? How do you determine eigenvalues of a 3x3 matrix? How do you determine the eigenvalues of a 2x2 matrix? Prove that eigenvalues are the diagonal entries of an upper-triangular matrix. Show how to find ...
EigenvaluesHolonomyManifoldsHilbert spaceFor an arbitrary possibly non-Hermitian matrix HamiltonianHthat might involve exceptional points, we construct an ... H Mehri-Dehnavi,A Mostafazadeh - 《Journal of Mathematical Physics》 被引量: 49发表: 2008年 ...
Multiple eigenvalues
A matrix A∈Mn(C) is said to be conjugate-normal if AA∗=A∗A¯. Complex symmetric, skew-symmetric, and unitary matrices are special subclasses of conjugate-normal matrices. For the properties and characterizations of this kind of matrices, readers are referred to [3]. Next, we revi...
Such transitions have been studied foremost in Hermitian ensembles; compare Remarks 1.12 and 1.15 for some references; here, we are interested in the simplest thinned non-Hermitian matrix model with real entries. Once (1.10) is established, we will then use this finite n result to derive the ...
is an element of the Hermitian matrix t ′ 2 t ′ † 2 − t ′ 1 t ′ † 1 in the basis where t ′ 1 t ′ † 1 is diagonal. The Hermitian matrix is given by w = vt ′ 1 (θ ∗ ) 2 +η † r ′ 1 r ′ † 1 η −r ′ † 1 η −η † r ...
By means of the properties of the Hermitian-Antireflexive matrix,the least-square solution of the left and right inverse eigenvalue problem of Hermitian-Antireflexive matrix is derived and the necessary and sufficient conditions of the problem are considered and then the general expression of the so...